The Effect of Charge Discretization on the Electrical Field inside a Conductor

TL;DR

This paper investigates how the electrical field within a conductor varies with charge discretization, revealing that the field is concentrated near the surface and depends on the number of charges, impacting fundamental electrostatic laws.

Contribution

It demonstrates the influence of charge discretization on the internal electric field and surface charge distribution in conductors, highlighting effects on classical electrostatics.

Findings

Electrical field concentration near the surface

Dependence of field on number of charges

Charge discretization affects electrostatic laws

Abstract

We show how the electrical field inside the conductor changes as a function of the number of charged-particles. We show that the non-vanishing electrical field is concentrated near the surface of the conductor, at a shallow depth on the same order of magnitude as the separation between charges. Our study has illustrated the effect of charge discretization on a fundamental emergent law of electrostatics.